The appropriate exponential function for the first question is
... A: f(n) = 10 × 1.2^n
To find the revenue from sales of that many glasses, we multiply by the sale price to get
... B: 0.5(10 × 1.2^n)
Amount of grass in the backyard is 0.641 square yards
<h3>
What is a square?</h3>
Any 2-dimensional figure bounded by 4 sides whose all sides are equal and all the angles are 90° is called a square.
<h3>How to find the area of a square?</h3>
Area of a square can be found by squaring the length of one of its sides.
<h3>What is a rectangle?</h3>
Any 2-dimensional figure bounded by 4 sides whose opposites sides are equal and parallel and all the angles are 90° is called a rectangle.
<h3>How to find out area of a rectangle?</h3>
Area of a rectangle can be found by multiplying its length by its breadth.
<h3>How to calculate the area in the given problem?</h3>
The given figure is a combination of multiple figures.
- 1 square of length 3 cm on top
- 1 rectangle in the middle whose length is ( 2 + 3) cm = 5 cm, and breadth is 3 cm
- 1 larger rectangle at the bottom whose length is 10 cm and breadth is 3 cm.
- We will have to calculate these areas and sum up the areas to get the entire area.
- Area of the square at the top = ( 3 x 3) cm² = 9 cm²
- Area of the middle rectangle = ( 5 x 3) cm² = 15 cm²
- Area of the bottom rectangle = (10 x 3) cm² = 30 cm²
∴ Total area of the backyard = ( 9 + 15 + 30) cm² = 54 cm²
Amount of grass in the backyard = (54 x 0.109² ) square yards
= 0.641 square yards ( 1 cm = 0.109 yards)
Find out more information about area calculations here: brainly.com/question/1297098
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Answer:
Step-by-step explanation:
f: y=x^2
g: y= -x^2
h: y= -x^2-5
first we transform the graph of f to the graph of g using the reflexion across y-axis .
then we transform of g to the graph of h using the translation -5( vector j )
look at the photo below for the graphics.
:)
<span>4(x+15)≥120⇔4x+60≥120</span>If we solve for x, we find that <span><span>x≥15</span></span>
